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Finding the Fourth Proportional to 6,613.13, 9,914.50 and 3,442.90

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Solution

The fourth proportional to 6,613.13, 9,914.50 and 3,442.90 is: 5,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.13 : 9,914.50 = 3,442.90 : x
  2. Step 2: Convert to fraction form
    6,613.13/9,914.50 = 3,442.90/x
  3. Step 3: Cross multiply
    6,613.13x = 9,914.50 × 3,442.90
  4. Step 4: Simplify right side
    6,613.13x = 34,134,565.26
  5. Step 5: Solve for x
    x = 34,134,565.26/6,613.13
  6. Step 6: Final answer
    x = 5,161.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.